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Finding the Fourth Proportional to 14,386.64, 19,855.08 and 8,420.24

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Solution

The fourth proportional to 14,386.64, 19,855.08 and 8,420.24 is: 11,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.64 : 19,855.08 = 8,420.24 : x
  2. Step 2: Convert to fraction form
    14,386.64/19,855.08 = 8,420.24/x
  3. Step 3: Cross multiply
    14,386.64x = 19,855.08 × 8,420.24
  4. Step 4: Simplify right side
    14,386.64x = 167,184,538.82
  5. Step 5: Solve for x
    x = 167,184,538.82/14,386.64
  6. Step 6: Final answer
    x = 11,620.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.